Year 6
The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
- understanding includes describing properties of different sets of numbers, using fractions and decimals to describe probabilities, representing fractions and decimals in various ways and describing connections between them, and making reasonable estimations
- fluency includes representing integers on a number line, calculating simple percentages, using brackets appropriately, converting between fractions and decimals, using operations with fractions, decimals and percentages, measuring using metric units and interpreting timetables
- problem-solving includes formulating and solving authentic problems using fractions, decimals, percentages and measurements, interpreting secondary data displays and finding the size of unknown angles
- reasoning includes explaining mental strategies for performing calculations, describing results for continuing number sequences, explaining the transformation of one shape into another and explaining why the actual results of chance experiments may differ from expected results.
(source: www.australiancurriculum.edu.au)
Achievement Standard
By the end of Year 6, students recognise the properties of prime, composite, square and triangular numbers. They describe the use of integers in everyday contexts. They solve problems involving all four operations with whole numbers. Students connect fractions, decimals and percentages as different representations of the same number. They solve problems involving the addition and subtraction of related fractions. Students make connections between the powers of 10 and the multiplication and division of decimals. They describe rules used in sequences involving whole numbers, fractions and decimals. Students connect decimal representations to the metric system and choose appropriate units of measurement to perform a calculation. They make connections between capacity and volume. They solve problems involving length and area. They interpret timetables. Students describe combinations of transformations. They solve problems using the properties of angles. Students compare observed and expected frequencies. They interpret and compare a variety of data displays including those displays for two categorical variables. They interpret secondary data displayed in the media.
Students locate fractions and integers on a number line. They calculate a simple fraction of a quantity. They add, subtract and multiply decimals and divide decimals where the result is rational. Students calculate common percentage discounts on sale items. They write correct number sentences using brackets and order of operations. Students locate an ordered pair in any one of the four quadrants on the Cartesian plane. They construct simple prisms and pyramids. Students describe probabilities using simple fractions, decimals and percentages.
(source: www.australiancurriculum.edu.au)
- Plus Plan
The Mathematical Easter Egg Hunt – Whole Class Game
A differentiated whole class Easter egg hunt.
- Plus Plan
Multi-Step Word Problem Cards (Division and Multiplication) - Year 5-6
Solve multi-step multiplication and long division word problems with a set of printable maths task cards.
- Free Plan
Nets of 3D Objects
Create a variety of 3D shapes with this comprehensive set of net templates.
- Plus Plan
Year 6 Mental Maths Drills Workbook
Incorporate this mental maths drills booklet into your maths lesson warm-up routine.
- Plus Plan
Year 6 Fractions, Decimals and Percentages Worksheets
Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity.
- Plus Plan
Input Output Games - 'The Cupcake Catastrophe' Escape Room
Play input output games like this ‘Cupcake Catastrophe’ escape room to put the 'FUN' in functions!
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The Escape From Millbrook Manor – Whole Class Escape Game
Practise computation skills by solving puzzles with this differentiated Halloween escape room game.
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Area and Perimeter Paddock Problems – Worksheets
A set of differentiated area and perimeter worksheets.
- Plus Plan
Data Representation and Interpretation Worksheets - Year 6
8 data representation and interpretation worksheets linked to the Australian Curriculum.
- Plus Plan
Time Management Activity – Planning a Day Trip
Students use their knowledge of maps, timetables and money to plan a well-timed 'flying' visit to Five Wonders Theme Park, between two connecting flights.
- Free Plan
Chance and Data Maths Investigation - Roll Me a Six!
A mathematics investigation involving chance and data, embedded in a real-world context.
- Free Plan
Blank Number Lines - Printable
Print a set of open number lines to help you teach a variety of maths skills.
- Plus Plan
Daily Maths Word Problems - Year 6 (Worksheets)
A set of 20 problem-solving questions suited to year 6 students.
- Plus Plan
Cartesian Plane Game — Galaxy Escape Room!
Play this engaging Cartesian plane game with your students to help refine their plotting skills as they make their escape!
- Plus Plan
Adding Fractions With Like Denominators Worksheets
Download this set of adding fractions with like denominators worksheets to help your students practise this important maths skill.
- Plus Plan
Identifying Prime and Composite Numbers – Worksheet
Use understanding of factors to identify composite and prime numbers with this worksheet.
- Free Plan
Factor Trees – Worksheet
Find the prime factors of numbers using factor trees with this worksheet.
- Plus Plan
Word Problem Worksheets - Year 5 and Year 6
4 mixed operations word problem worksheets with answers.
- Plus Plan
Decimals and Percentages Maths Investigation – Plan a Party!
Get your students connecting their maths knowledge to the real world with this decimals and percentages party planning project.
- Plus Plan
Decimal Place Value Worksheets
Use these decimal place value worksheets to help your students analyse patterns in decimal place values out to the thousandths place.
- Plus Plan
Mixed Operations - Length Word Problems Worksheets
Solve multi-step length word problems with a printable pack of 3-act Maths Word Problem Worksheets.
- Plus Plan
Reading and Interpreting Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
- Plus Plan
Maths Brain Teasers Task Cards
Spark critical thinking with maths brain teasers embedded in real-world scenarios to engage and challenge your upper primary students.
- Free Plan
Metric Measurement Conversion Worksheet Set
Utilise our metric measurement conversion worksheet set to give your students practise converting units of metric length, mass and capacity.
- Plus Plan
Adding and Subtracting Like Fractions Puzzle Pack
Get your students adding and subtracting fractions with like denominators with this set of nine fraction puzzles!
- Plus Plan
Adding and Subtracting Fractions Maths Investigation — Renovate with a Rug!
Immerse your students in all things fractions with this maths project based around a real-world scenario.
- Free Plan
Converting Length Worksheets
Download our converting length worksheets to allow your students to demonstrate an understanding of decimal representations while converting units of metric length.
- Free Plan
Measurement Conversions - Length – Worksheet
Use ratio reasoning to practise converting units of length with this worksheet.
- Free Plan
Find and Colour – Prime and Composite Numbers
Encourage your year 6 students to identify prime and composite numbers up to 100 with this free find and colour worksheet.
- Free Plan
Order of Operations Dice Game
A set of 6 order of operations dice activity mats.
- Plus Plan
Adding and Subtracting Fractions Worksheets
Use these adding and subtracting fractions worksheets to enable your students to practise this important skill.
- Plus Plan
Algebra Questions Year 6 Worksheet Set
Share these algebra questions year 6 worksheets with your students to level up their skills in identifying number patterns and following the order of operations.